1040157254160 has 240 divisors, whose sum is σ = 3678482121600. Its totient is φ = 262674026496.

The previous prime is 1040157254119. The next prime is 1040157254173. The reversal of 1040157254160 is 614527510401.

1040157254160 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 1 + 57 + 2 + 541 + 60 = 666.

It is a Cunningham number, because it is equal to 1019881²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1040157254160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38742021 + ... + 38768859.

It is an arithmetic number, because the mean of its divisors is an integer number (15327008840).

Almost surely, 2^{1040157254160} is an apocalyptic number.

1040157254160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040157254160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839241060800).

1040157254160 is an abundant number, since it is smaller than the sum of its proper divisors (2638324867440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1040157254160 is a wasteful number, since it uses less digits than its factorization.

1040157254160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29710 (or 29701 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1040157254160 in words is "one trillion, forty billion, one hundred fifty-seven million, two hundred fifty-four thousand, one hundred sixty".